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Finding the Third Proportional to 565,261,914 and 853,266,939

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Solution

The third proportional to 565,261,914 and 853,266,939 is: 1,288,012,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,261,914 : 853,266,939 = 853,266,939 : x
  2. Step 2: Convert to fraction form
    565,261,914/853,266,939 = 853,266,939/x
  3. Step 3: Cross multiply
    565,261,914x = 853,266,939 × 853,266,939
  4. Step 4: Simplify right side
    565,261,914x = 728,064,469,190,429,696
  5. Step 5: Solve for x
    x = 728,064,469,190,429,696/565,261,914
  6. Step 6: Final answer
    x = 1,288,012,602.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.